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- W2016391188 abstract "Abstract Atkinson's semi‐definite Sturm–Liouville problem consists of the differential equation –( y ′/ s )′ + qy = λry , with s , q , r integrable on [ a , b ], q real‐valued, s, r ≥ 0, and separated boundary conditions at a, b . The asymptotic behavior of the associated Prüfer angle is determined as λ → ±∞. This leads to existence theorems for eigenvalues λ n with prescribed oscillation number n and their asymptotics. In general, λ n grows faster than n 2 , and the order of the corresponding characteristic function is less than ½. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2016391188 date "2005-09-06" @default.
- W2016391188 modified "2023-10-18" @default.
- W2016391188 title "Prüfer angle asymptotics for Atkinson's semi‐definite Sturm–Liouville eigenvalue problem" @default.
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- W2016391188 doi "https://doi.org/10.1002/mana.200410315" @default.
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